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The cycloid secret: area under one arch = twice the rolling circle’s area. Mind blown? 🤯
2:19
YouTubeLincy Mathematics
The cycloid secret: area under one arch = twice the rolling circle’s area. Mind blown? 🤯
A cycloid is drawn by a point on a rolling circle. The area under a single arch is 2πr²—that’s 2 × (area of the circle). Why it matters: • Optimizes motion (brachistochrone & tautochrone) • Shapes gears, cams, and roller-coaster curves • Explains real-world “fastest path” intuition If math felt abstract, this is geometry you ...
72 views3 days ago
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